Friction Force: 1.3 kg Book on 16° Plank - Find the Answer!

In summary, the frictional force between the book and the plank of wood is 5.62N, calculated using the formula F= coefficient of friction ×R. However, the textbook answer is 3.58N. Using 10 for g may have resulted in a slightly different calculation.
  • #1
Shah 72
MHB
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A book of mass 1.3 kg is on a plank of wood which is held at 16 degree to the horizontal. The coefficient of friction between the book and the plank is 0.45.
Find the size of the frictional force.
Iam getting the ans by using the formula F= coefficient of friction ×R
5.62N but the textbook ans is 3.58N.
Pls help
 
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  • #2
using 10 for g ...

$f = \mu \cdot mg\cos{\theta} = 5.62 \, N$

an aside ... since you're using a calculator anyway, why not use 9.8 for g? g = 10 is normally used when calculations are done by hand.
 
  • #3
skeeter said:
using 10 for g ...

$f = \mu \cdot mg\cos{\theta} = 5.62 \, N$

an aside ... since you're using a calculator anyway, why not use 9.8 for g? g = 10 is normally used when calculations are done by hand.
Thank you!
 

FAQ: Friction Force: 1.3 kg Book on 16° Plank - Find the Answer!

1. What is friction force?

Friction force is a force that resists the motion of an object when it comes into contact with another object or surface. It is caused by the microscopic roughness of the surfaces and the interlocking of the irregularities, which creates resistance to motion.

2. How is friction force calculated?

Friction force can be calculated using the formula F = μN, where F is the friction force, μ is the coefficient of friction, and N is the normal force (the force perpendicular to the surface that the object is resting on).

3. What is the coefficient of friction?

The coefficient of friction is a dimensionless constant that represents the amount of friction between two surfaces. It is dependent on the materials and surfaces in contact and can vary based on factors such as temperature and surface roughness.

4. How does the angle of a plank affect friction force?

The angle of a plank can affect friction force by changing the normal force acting on the object. As the angle increases, the normal force decreases, resulting in a decrease in friction force. This is because the weight of the object is distributed across a larger surface area, reducing the force pushing the object against the surface.

5. How can friction force be reduced?

Friction force can be reduced by using lubricants, such as oil or grease, to reduce the contact between surfaces. Additionally, using smoother surfaces and reducing the weight or force applied to the object can also decrease friction force.

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